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Finding the Fourth Proportional to 706.04, 1,059.16 and 219.03

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Solution

The fourth proportional to 706.04, 1,059.16 and 219.03 is: 328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.04 : 1,059.16 = 219.03 : x
  2. Step 2: Convert to fraction form
    706.04/1,059.16 = 219.03/x
  3. Step 3: Cross multiply
    706.04x = 1,059.16 × 219.03
  4. Step 4: Simplify right side
    706.04x = 231,987.81
  5. Step 5: Solve for x
    x = 231,987.81/706.04
  6. Step 6: Final answer
    x = 328.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.